Article ID Journal Published Year Pages File Type
4612384 Journal of Differential Equations 2007 38 Pages PDF
Abstract

Sufficient and necessary conditions for the embeddings between Besov spaces and modulation spaces are obtained. Moreover, using the frequency-uniform decomposition method, we study the Cauchy problem for the generalized BO, KdV and NLS equations, for which the global well-posedness of solutions with the small rough data in certain modulation spaces is shown.

Related Topics
Physical Sciences and Engineering Mathematics Analysis